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Finding the Fourth Proportional to 9,880.16, 13,634.04 and 5,793.20

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Solution

The fourth proportional to 9,880.16, 13,634.04 and 5,793.20 is: 7,994.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.16 : 13,634.04 = 5,793.20 : x
  2. Step 2: Convert to fraction form
    9,880.16/13,634.04 = 5,793.20/x
  3. Step 3: Cross multiply
    9,880.16x = 13,634.04 × 5,793.20
  4. Step 4: Simplify right side
    9,880.16x = 78,984,720.53
  5. Step 5: Solve for x
    x = 78,984,720.53/9,880.16
  6. Step 6: Final answer
    x = 7,994.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.